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Finding the Fourth Proportional to 8,198.29, 12,297.44 and 3,515.28

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Solution

The fourth proportional to 8,198.29, 12,297.44 and 3,515.28 is: 5,272.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.29 : 12,297.44 = 3,515.28 : x
  2. Step 2: Convert to fraction form
    8,198.29/12,297.44 = 3,515.28/x
  3. Step 3: Cross multiply
    8,198.29x = 12,297.44 × 3,515.28
  4. Step 4: Simplify right side
    8,198.29x = 43,228,883.40
  5. Step 5: Solve for x
    x = 43,228,883.40/8,198.29
  6. Step 6: Final answer
    x = 5,272.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.